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Finding the Third Proportional to 495,368 and 787,249

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Solution

The third proportional to 495,368 and 787,249 is: 1,251,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,368 : 787,249 = 787,249 : x
  2. Step 2: Convert to fraction form
    495,368/787,249 = 787,249/x
  3. Step 3: Cross multiply
    495,368x = 787,249 × 787,249
  4. Step 4: Simplify right side
    495,368x = 619,760,988,001
  5. Step 5: Solve for x
    x = 619,760,988,001/495,368
  6. Step 6: Final answer
    x = 1,251,112.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.